| 集成灰色GM(1,1)模型研究 |
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| 引用本文： | 马萍,张迎辉,岳强,杨印生.集成灰色GM(1,1)模型研究[J].长春理工大学学报,2008,31(2). |
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| 作者姓名： | 马萍 张迎辉 岳强 杨印生 |
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| 作者单位： | 黑龙江八一农垦大学食品学院,大庆,163319;深圳职业技术学院,深圳,518055;吉林大学生物与农业工程学院,长春,130022 |
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| 摘 要： | 分析了GM(1,1)模型的构造原理,指出初始值和背景值是GM(1,1)模型建模的关键,利用最小二乘法原理和GM(1,1)模型传统预测公式改进了初始值,并利用GM(1,1)模型建模条件建立了新背景值计算公式,从而建立了既适应低增长指数序列.又适应高增长指数序列的集成GM(1,1)模型,实例计算结果表明集成GM(1,1)模型的模拟精度较原始GM(1,1)模型和单方面改进的GM(1,1)模型有较大提高且适应范围更广,为提高模型建模精度和适应范围提供了一个新的途径.
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| 关 键 词： | 初始值 背景值GM(1 1) 模型 集成 |
Study on the integrated GM(1,1) model |
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| MA Ping,ZHANG Yinhui,YUE Qiang,YANG Yinsheng.Study on the integrated GM(1,1) model[J].Journal of Changchun University of Science and Technology,2008,31(2). |
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| Authors: | MA Ping ZHANG Yinhui YUE Qiang YANG Yinsheng |
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| Affiliation: | MA Ping1,ZHANG Yinhui2,YUE Qiang3,YANG Yinsheng3(1.Food college,Heilongjiang August Frist L, Reclamation University,Daqing 163319,2.Shenzhen Polytechnic Col-lege,Shenzhen 518055,3.College of Biological , Agricultural Engineering,Jilin University,Changchun 130022) |
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| Abstract: | The structure principle of GM(1,1) was ananlyzed,the initial value and the background value was pointed out as GM(1,1) model key.Based on the principle of the Least squares method and GM(1,1) model traditional prognostic for-mula,the paper has built the new initial value,and has established the new background value formula using GM(1,1) model modelling condition,then the paper has made a improvement to GM(1,1) model,established both the adapted low growth index series model,and the adapted high growth index... |
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| Keywords: | initial value background value GM(1 1) model integration |
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